Recurring Events Established In 1975
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Recurring Events Established In 1975
Recurring means occurring repeatedly and can refer to several different things: Mathematics and finance *Recurring expense An expense is an item requiring an outflow of money, or any form of Wealth, fortune in general, to another person or group as payment for an item, service, or other category of costs. For a leasehold estate, tenant, renting, rent is an expense. Fo ..., an ongoing (continual) expenditure * Repeating decimal, or recurring decimal, a real number in the decimal numeral system in which a sequence of digits repeats infinitely * Curiously recurring template pattern (CRTP), a software design pattern Processes * Recursion, the process of repeating items in a self-similar way * Recurring dream, a dream that someone repeatedly experiences over an extended period Television * Recurring character, a character, usually on a television series, that appears from time to time and may grow into a larger role * Recurring status, condition whereby a soap opera actor may ...
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Recurring Expense
An expense is an item requiring an outflow of money, or any form of Wealth, fortune in general, to another person or group as payment for an item, service, or other category of costs. For a leasehold estate, tenant, renting, rent is an expense. For students or parents, tuition is an expense. Buying food, clothing, furniture, or an automobile is often referred to as an expense. An expense is a cost that is "paid" or "Remittance, remitted", usually in exchange for something of value. Something that seems to cost a great deal is "expensive". Something that seems to cost little is "inexpensive". "Expenses of the table" are expenses for dining, refreshments, a feast, etc. In accounting, ''expense'' is any specific outflow of cash or other valuable assets from a person or company to another person or company. This outflow is generally one side of a trade for products or services that have equal or better current or future value to the buyer than to the seller. Technically, an expense is ...
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Repeating Decimal
A repeating decimal or recurring decimal is a decimal representation of a number whose digits are eventually periodic (that is, after some place, the same sequence of digits is repeated forever); if this sequence consists only of zeros (that is if there is only a finite number of nonzero digits), the decimal is said to be ''terminating'', and is not considered as repeating. It can be shown that a number is rational if and only if its decimal representation is repeating or terminating. For example, the decimal representation of becomes periodic just after the decimal point, repeating the single digit "3" forever, i.e. 0.333.... A more complicated example is , whose decimal becomes periodic at the ''second'' digit following the decimal point and then repeats the sequence "144" forever, i.e. 5.8144144144.... Another example of this is , which becomes periodic after the decimal point, repeating the 13-digit pattern "1886792452830" forever, i.e. 11.18867924528301886792452830.... ...
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Curiously Recurring Template Pattern
The curiously recurring template pattern (CRTP) is an idiom, originally in C++, in which a class X derives from a class template instantiation using X itself as a template argument. More generally it is known as F-bound polymorphism, and it is a form of ''F''-bounded quantification. History The technique was formalized in 1989 as "''F''-bounded quantification." The name "CRTP" was independently coined by Jim Coplien in 1995, who had observed it in some of the earliest C++ template code as well as in code examples that Timothy Budd created in his multiparadigm language Leda. It is sometimes called "Upside-Down Inheritance" due to the way it allows class hierarchies to be extended by substituting different base classes. The Microsoft Implementation of CRTP in Active Template Library (ATL) was independently discovered, also in 1995, by Jan Falkin, who accidentally derived a base class from a derived class. Christian Beaumont first saw Falkin's code and initially thought it coul ...
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Recursion
Recursion occurs when the definition of a concept or process depends on a simpler or previous version of itself. Recursion is used in a variety of disciplines ranging from linguistics to logic. The most common application of recursion is in mathematics and computer science, where a function (mathematics), function being defined is applied within its own definition. While this apparently defines an infinite number of instances (function values), it is often done in such a way that no infinite loop or infinite chain of references can occur. A process that exhibits recursion is ''recursive''. Video feedback displays recursive images, as does an infinity mirror. Formal definitions In mathematics and computer science, a class of objects or methods exhibits recursive behavior when it can be defined by two properties: * A simple ''base case'' (or cases) — a terminating scenario that does not use recursion to produce an answer * A ''recursive step'' — a set of rules that reduce ...
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